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Quantitative Techniques

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Assignment of Quantitative Techniques 1

Submitted By: 1 | Kaushal Kant | 50017 | 2 | Ratan Deep Kumar | 50033 | 3 | Shalini Srivastav | 50038 | 4 | Saurav Singh | 50037 | 5 | Himanshu Kumar | 50014 | 6 | Nitin Anand | 50027 |

Group No:4

(QUESTION)
National Rural Health Mission had planned and runned anti smoking ad campaign in state of Bihar, for that district wise survey was conducted as below. But depending upon the survey NRHM planned to focus more on those districts having standard score of population more than 0.1 units. After six months again survey was conducted on people picked randomly from each district of Bihar and age of 100 people were noted down those who have left the habit of smoking. 1.) Find the districts that were laid more emphasis for ad campaign. 2.) Later when survey was conducted find the age group having more impact of ad campaign. SL No | District | Population (2012) in 1000 | Population Of smokers in 1000 | 1 | Araria | 2806 | 140 | 2 | Arwal | 700 | 42 | 3 | Aurangabad | 2511 | 176 | 4 | Banka | 2029 | 162 | 5 | Begusarai | 2954 | 266 | 6 | Bhagalpur | 3032 | 303 | 7 | Bhojpur | 2720 | 299 | 8 | Buxar | 1708 | 171 | 9 | Darbhanga | 3922 | 431 | 10 | East Champaran | 5083 | 457 | 11 | Gaya | 4379 | 350 | 12 | Gopalganj | 2558 | 153 | 13 | Jamui | 1756 | 123 | 14 | Jehanabad | 1124 | 101 | 15 | Khagaria | 1658 | 166 | 16 | Kishanganj | 1691 | 51 | 17 | Kaimur | 1627 | 65 | 18 | Katihar | 3068 | 153 | 19 | Lakhisarai | 1001 | 60 | 20 | Madhubani | 4476 | 313 | 21 | Munger | 1359 | 109 | 22 | Madhepura | 1995 | 180 | 23 | Muzaffarpur | 4779 | 478 | 24 | Nalanda | 2873 | 259 | 25 | Nawada | 2217 | 177 | 26 | Patna | 5773 | 404 | 27 | Purnia | 3273 | 196 | 28 | Rohtas | 2963 | 148 | 29 | Saharsa | 1897 | 133 | 30 | Samastipur | 4255 | 340 | 31 | Sheohar | 657 | 59 | 32 | Sheikhpura | 635 | 63 | 33 | Saran | 3943 | 434 | 34 | Sagar | 3420 | 171 | 35 | Supaul | 2228 | 134 | 36 | Siwan | 3318 | 265 | 37 | Vaishali (Akshay) | 3495 | 315 | 38 | West Champaran | 3923 | 400 | Age of people | 11 | 24 | 38 | 60 | 20 | 30 | 44 | 69 | 22 | 35 | 11 | 24 | 38 | 65 | 20 | 31 | 44 | 71 | 22 | 36 | 12 | 25 | 39 | 65 | 20 | 31 | 45 | 71 | 22 | 36 | 12 | 25 | 39 | 65 | 20 | 31 | 45 | 75 | 22 | 37 | 13 | 27 | 41 | 65 | 20 | 31 | 45 | 75 | 22 | 37 | 15 | 28 | 41 | 67 | 20 | 32 | 45 | 77 | 18 | 28 | 15 | 28 | 42 | 67 | 21 | 32 | 47 | 77 | 19 | 30 | 18 | 28 | 42 | 67 | 21 | 35 | 47 | 85 | 21 | 35 | 22 | 35 | 55 | 89 | 89 | 90 | 90 | 90 | 90 | 67 | 55 | 55 | 55 | 55 | 60 | 44 | 44 | 55 | 69 | 85 |

Solution
SL No | District | Population (2012) in 1000 | Population Of smokers in 1000(x) | Standard Score of each district {(x-µ)/σ} | 1 | Araria | 2806 | 140 | -0.058347985 | 2 | Arwal | 700 | 42 | -0.132583687 | 3 | Aurangabad | 2511 | 176 | -0.031077728 | 4 | Banka | 2029 | 162 | -0.041682828 | 5 | Begusarai | 2954 | 266 | 0.037097916 | 6 | Bhagalpur | 3032 | 303 | 0.065125681 | 7 | Bhojpur | 2720 | 299 | 0.062095652 | 8 | Buxar | 1708 | 171 | -0.034865264 | 9 | Darbhanga | 3922 | 431 | 0.162086597 | 10 | East Champaran | 5083 | 457 | 0.181781783 | 11 | Gaya | 4379 | 350 | 0.100728517 | 12 | Gopalganj | 2558 | 153 | -0.048500392 | 13 | Jamui | 1756 | 123 | -0.071225607 | 14 | Jehanabad | 1124 | 101 | -0.087890765 | 15 | Khagaria | 1658 | 166 | -0.038652799 | 16 | Kishanganj | 1691 | 51 | -0.125766122 | 17 | Kaimur | 1627 | 65 | -0.115161022 | 18 | Katihar | 3068 | 153 | -0.048500392 | 19 | Lakhisarai | 1001 | 60 | -0.118948558 | 20 | Madhubani | 4476 | 313 | 0.072700753 | 21 | Munger | 1359 | 109 | -0.081830707 | 22 | Madhepura | 1995 | 180 | -0.028047699 | 23 | Muzaffarpur | 4779 | 478 | 0.197689433 | 24 | Nalanda | 2873 | 259 | 0.031795366 | 25 | Nawada | 2217 | 177 | -0.030320221 | 26 | Patna | 5773 | 404 | 0.141633904 | 27 | Purnia | 3273 | 196 | -0.015927585 | 28 | Rohtas | 2963 | 148 | -0.052287928 | 29 | Saharsa | 1897 | 133 | -0.063650536 | 30 | Samastipur | 4255 | 340 | 0.093153446 | 31 | Sheohar | 657 | 59 | -0.119706065 | 32 | Sheikhpura | 635 | 63 | -0.116676036 | 33 | Saran | 3943 | 434 | 0.164359119 | 34 | Sagar | 3420 | 171 | -0.034865264 | 35 | Supaul | 2228 | 134 | -0.062893028 | 36 | Siwan | 3318 | 265 | 0.036340409 | 37 | Vaishali (Akshay) | 3495 | 315 | 0.074215767 | 38 | West Champaran | 3923 | 400 | 0.138603875 | TOTAL POPULATION IN 1000 | 103806 | 8247 | MEAN OF SMOKERS POPULATION(µ) | 217.0263158 | Variance(σ2) | 1742715.605 | Standard Deviation(σ) | 1320.119542 |

Hence following districts were laid more emphasis during ad campaign | Muzaffarpur | Patna | Lakhisarai | East Champaran | West Champaran | Sheikhpura | Saran | Arwal | Kaimur | Darbhanga | Kishanganj | Gaya | | Sheohar | |

Part 2 Age of people | 11 | 24 | 38 | 60 | 11 | 24 | 38 | 65 | 12 | 25 | 39 | 65 | 12 | 25 | 39 | 65 | 13 | 27 | 41 | 65 | 15 | 28 | 41 | 67 | 15 | 28 | 42 | 67 | 18 | 28 | 42 | 67 | 18 | 28 | 44 | 67 | 19 | 30 | 44 | 69 | 20 | 30 | 44 | 69 | 20 | 31 | 44 | 71 | 20 | 31 | 45 | 71 | 20 | 31 | 45 | 75 | 20 | 31 | 45 | 75 | 20 | 32 | 45 | 77 | 21 | 32 | 47 | 77 | 21 | 35 | 47 | 85 | 21 | 35 | 55 | 85 | 22 | 35 | 55 | 89 | 22 | 35 | 55 | 89 | 22 | 36 | 55 | 90 | 22 | 36 | 55 | 90 | 22 | 37 | 55 | 90 | 22 | 37 | 60 | 90 | AGE GROUP | Frequency | 0-20 | 16 | 21-40 | 38 | 41-60 | 22 | 61-80 | 16 | 81-100 | 8 | | |

From above data it is evident that age group (21yrs-40yrs) has more impact of ad | | |

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